Tape Weight per foot for Sag Correction between Points of Support Solution

STEP 0: Pre-Calculation Summary
Formula Used
Weight of Tape per Unit Length = -sqrt((Sag Correction*24*Pull on Tape^2)/(Unsupported Length^3))
W = -sqrt((Cs*24*P^2)/(Ul^3))
This formula uses 1 Functions, 4 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Weight of Tape per Unit Length - (Measured in Kilogram per Meter) - Weight of Tape per Unit Length is a measurement used in surveying to determine weight of measuring tape over a certain distance and is used to calculate tension and sag of tape during measurements.
Sag Correction - (Measured in Meter) - Sag Correction is the adjustment of optical elements to counteract deformation, maintaining proper shape for optimal performance in imaging systems.
Pull on Tape - (Measured in Newton) - Pull on Tape is the tension or pull applied to the tape in newtons (N).
Unsupported Length - (Measured in Meter) - Unsupported Length is the length between the support.
STEP 1: Convert Input(s) to Base Unit
Sag Correction: 12 Meter --> 12 Meter No Conversion Required
Pull on Tape: 4.77 Newton --> 4.77 Newton No Conversion Required
Unsupported Length: 9 Meter --> 9 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
W = -sqrt((Cs*24*P^2)/(Ul^3)) --> -sqrt((12*24*4.77^2)/(9^3))
Evaluating ... ...
W = -2.99813275223096
STEP 3: Convert Result to Output's Unit
-2.99813275223096 Kilogram per Meter --> No Conversion Required
FINAL ANSWER
-2.99813275223096 -2.998133 Kilogram per Meter <-- Weight of Tape per Unit Length
(Calculation completed in 00.020 seconds)

Credits

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National Institute of Technology Karnataka (NITK), Surathkal
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Go Length Correction due to Temperature = ((Actual Tape Length-Nominal Tape Length)*Unsupported Length)/(Nominal Tape Length)
Tape Weight per foot for Sag Correction between Points of Support
Go Weight of Tape per Unit Length = -sqrt((Sag Correction*24*Pull on Tape^2)/(Unsupported Length^3))
Pull-on Tape given Sag Correction between Points of Support
Go Pull on Tape = sqrt((-Weight of Tape per Unit Length^2*Unsupported Length^3)/(24*Sag Correction))
Unsupported Tape Length given Sag Correction between Points of Support
Go Unsupported Length = ((-24*Sag Correction*Pull on Tape^2)/(Weight of Tape per Unit Length^2))^(1/3)
Sag Correction between Points of Support
Go Sag Correction = -(Weight of Tape per Unit Length^2)*(Unsupported Length^3)/(24*Pull on Tape^2)

Tape Weight per foot for Sag Correction between Points of Support Formula

Weight of Tape per Unit Length = -sqrt((Sag Correction*24*Pull on Tape^2)/(Unsupported Length^3))
W = -sqrt((Cs*24*P^2)/(Ul^3))

What is Weight of Tape?

Tape weight per foot or per meter is the self weight of tape per unit length acting vertically downwards due to gravitational force.

What is Nominal Tape Length?

Nominal tape length is the length of tape that is affected by physical imperfections, stretching, or wear.

How to Calculate Tape Weight per foot for Sag Correction between Points of Support?

Tape Weight per foot for Sag Correction between Points of Support calculator uses Weight of Tape per Unit Length = -sqrt((Sag Correction*24*Pull on Tape^2)/(Unsupported Length^3)) to calculate the Weight of Tape per Unit Length, The Tape weight per foot for Sag Correction between Points of Support formula is defined as the weight of tape per foot or meter or the weight of the tape per unit length or self-weight of tape. Weight of Tape per Unit Length is denoted by W symbol.

How to calculate Tape Weight per foot for Sag Correction between Points of Support using this online calculator? To use this online calculator for Tape Weight per foot for Sag Correction between Points of Support, enter Sag Correction (Cs), Pull on Tape (P) & Unsupported Length (Ul) and hit the calculate button. Here is how the Tape Weight per foot for Sag Correction between Points of Support calculation can be explained with given input values -> -3.142697 = -sqrt((12*24*4.77^2)/(9^3)).

FAQ

What is Tape Weight per foot for Sag Correction between Points of Support?
The Tape weight per foot for Sag Correction between Points of Support formula is defined as the weight of tape per foot or meter or the weight of the tape per unit length or self-weight of tape and is represented as W = -sqrt((Cs*24*P^2)/(Ul^3)) or Weight of Tape per Unit Length = -sqrt((Sag Correction*24*Pull on Tape^2)/(Unsupported Length^3)). Sag Correction is the adjustment of optical elements to counteract deformation, maintaining proper shape for optimal performance in imaging systems, Pull on Tape is the tension or pull applied to the tape in newtons (N) & Unsupported Length is the length between the support.
How to calculate Tape Weight per foot for Sag Correction between Points of Support?
The Tape weight per foot for Sag Correction between Points of Support formula is defined as the weight of tape per foot or meter or the weight of the tape per unit length or self-weight of tape is calculated using Weight of Tape per Unit Length = -sqrt((Sag Correction*24*Pull on Tape^2)/(Unsupported Length^3)). To calculate Tape Weight per foot for Sag Correction between Points of Support, you need Sag Correction (Cs), Pull on Tape (P) & Unsupported Length (Ul). With our tool, you need to enter the respective value for Sag Correction, Pull on Tape & Unsupported Length and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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